Factoring Polynomials

What is the GCF of 2𝑥² − 4𝑥 − 6𝑥² = 2𝑥 (𝑥 − 2 − 3𝑥²)?

• 2𝑥

• (𝑥 − 2 − 3𝑥²)

• – 4x

• 2𝑥 (𝑥 − 2 − 3𝑥²)

Which of the following is equivalent to 18𝑥 + 12𝑦?

• 4(5𝑥 + 3𝑦)

• (6𝑥 + 5𝑦)

• 2(9𝑥 + 8𝑦)

• 6(3𝑥 + 2𝑦)

Which of the following is equivalent to the equation 𝑥 + 5 = (𝑥 + 3)²?

• (𝑥 + 1) (𝑥 + 4) = 0

• (𝑥 − 1) (𝑥 + 4) = 0

• (𝑥 + 1) (𝑥 + 4) = 5

• (𝑥 + 1) (𝑥 + 4) = 3

Which of the following is a quadratic expression with a > 1?

• 𝑥² + 3𝑥 – 5

• – 𝑥² − 2𝑥 – 1

• 3𝑥² − 𝑥 − 2

• 5𝑥² + 25

Which of the following is a quadratic expression where a =1?

• 4𝑥² − 7𝑥 – 8

• 𝑥² − 5𝑥 – 280

• 4𝑥² − 9

• 9𝑥² + 𝑥 − 10

Factor 𝑥³ – 8.

• (𝑥 + 2) (𝑥² − 2𝑥 + 4)

• (𝑥 − 2) (𝑥² + 2𝑥 + 4)

• (𝑥 − 5) (3𝑥 + 1)

• (3𝑥 − 5) (𝑥 + 1)

Factor 𝑥³ + 27 completely.

• (𝑥 + 3) (𝑥² − 3𝑥 + 9)

• (𝑥 + 3) (𝑥² − 3𝑥 + 18)

• (𝑥 + 3) (𝑥² − 3𝑥 − 9)

• (𝑥 + 5) (𝑥 − 3)

Which of the following will complete the statement below?

If the product is positive, then m and n have .

• Opposite signs

• Both negative signs

• Both positive signs

• Both negative or both positive sign

Given the expression below, what is the sum and product of m and n? 𝑥² − 7𝑥 + 12

• Sum: + 12; Product: - 7

• Sum: - 12; Product: +12

• Sum: -7; Product: +12

• Sum: +7; Product: - 12

Factor the following expression: 𝑥² − 3𝑥 – 18

• (𝑥 + 6) (𝑥 − 3)

• (𝑥 − 6) (𝑥 + 3)

• (𝑥 − 6) (𝑥 − 3)

• (𝑥 + 6) (𝑥 − 4)